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Romashka-Z-Leto [24]
3 years ago
8

Please simplify, 50 points. (sin Θ - cos Θ) - (sin Θ + cos Θ)^2

Mathematics
1 answer:
Amanda [17]3 years ago
8 0

Answer:

 

Using x for Θ:  

(sinx - cosx)^2 - (sinx + cosx)^2  

= (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x)  

= - 2 sinx cosx - 2 sinx cosx  

= - 4 sinx cosx  

= - 2sin(2x)  

Step-by-step explanation:

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Determine whether the graph of each pair of equations are parrallel, perpendicular, or neither
Luba_88 [7]

Answer: 1: parrallel

2:perpendicular

3; neither

4; perpendicular. 5: parrallel

Step-by-step explanation:

7 0
3 years ago
12 decreased by 8 times a number is 36
LekaFEV [45]
8x-12=36

Let's solve your equation step-by-step.

<span><span><span>8x</span>−12</span>=36

</span>Step 1: Add 12 to both sides.

<span><span><span><span>8x</span>−12</span>+12</span>=<span>36+12

</span></span><span><span>8x</span>=48

</span>Step 2: Divide both sides by 8.

<span><span><span>8x/</span>8</span>=<span>48/8

</span></span><span>x=6

</span>Answer: x=6
5 0
3 years ago
A jar contains black and white marbles in the ratio 2:5. If the jar contains total of 35 marbles, how many of the marbles are bl
Svet_ta [14]

Answer:

10 black marbles

Step-by-step explanation:

Let black marbles be=2x

Then white marbles=5x

Total marbles=7x which in turn is equal to 35. Hence x=5

Black marbles=2*5=10

H2H

8 0
3 years ago
PLease help real fast
GrogVix [38]

Answer:

i have no clue

Step-by-step explanation:


4 0
4 years ago
1. Do you the following side lengths form a right triangle?2. Which measurement is closest to the value of X in centimeters?
koban [17]

Answer:

Part 1:

Yes, the side lengths form a right triangle.

Part 2:

Option d 37.1 cm

Explanation:

We need to use the pythagorean theorem.

In part 1, if the 3 side lengths are a right triangle, then, they must verify:

7.5^2=4.5^2+6^2

By the theorem. Then:

\begin{gathered} 7.5^2=56.25 \\ 4.5^2+6^2=20.25+36=56.25 \end{gathered}

They're equal, then the lengths correspond to a right triangle.

For part 2, we need to use again the theorem. In this case:

\begin{gathered} 12^2+x^2=39^2 \\ x=\sqrt{1521-144} \\ x=\sqrt{1377} \\ x\approx37.1cm \end{gathered}

6 0
1 year ago
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